Answer:
Step-by-step explanation:
The formula for determining confidence interval is expressed as
Confidence interval
= mean ± z × s/ √n
Where
z is the value of the z score
s = standard deviation
n = sample size
a) The 95% confidence level has a z value of 1.96
The 99% confidence level has a z value of 2.58
Since 99% confidence level z value is greater than 95% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95% confidence level to a 99% confidence level would make a confidence interval wider.
b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.
c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.
Answer:
C(x) = R(x) - P(x)
C(x) = 260x - P(x)
Step-by-step explanation:
I think some information is missing in the question. However, symbolically, the answer for Total Cost (C(x)) = 260x - P(x), where P(x) is the profit.
Basically, we derived that from:
P(x) = C(x) - R(x).,
By making C(x) subject of formula, we have:
C(x) = R(x) - P(x)
Since, we only know the value of R = 260x, then, we have;
C(x) = 260x - P(x)
Answer:
The answer is C and D.
Step-by-step explanation:
(-4)^1/2 = undefined
(-16)^1/4 = undefined
(-32)^1/5 = -2
(-8)^1/3 = -2
Remark
The key step is just to subtract 5 from both sides. The pointed of the inequality still points away from the variable and towards the number. As long as that remains true, the correct answer can be found.
Solution
2.7 ≤ b + 5 Subtract 5 from both sides.
2.7 - 5 ≤ b
- 2.3 ≤ b Write with the variable on the left.
b ≥ - 2.3 <<<< answer
4 is the x1 value, -8 is the y2 value, 8 is the x2 value, and 5 is the y2 value.
